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Finding the Fourth Proportional to 1,169.16, 1,613.67 and 770.13

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Solution

The fourth proportional to 1,169.16, 1,613.67 and 770.13 is: 1,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.16 : 1,613.67 = 770.13 : x
  2. Step 2: Convert to fraction form
    1,169.16/1,613.67 = 770.13/x
  3. Step 3: Cross multiply
    1,169.16x = 1,613.67 × 770.13
  4. Step 4: Simplify right side
    1,169.16x = 1,242,735.68
  5. Step 5: Solve for x
    x = 1,242,735.68/1,169.16
  6. Step 6: Final answer
    x = 1,062.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.